Let X1, .. ., Xn X], ..., X be a random sample from N(u, 1) N(u, 1). We are testing Ho : u = 1 Ho : M = 1against H1 : u = 2 H, :u = 2. Using the most powerful test at level 0.05, the critical region is given by: (Note that as usual, X = _Xi X= [!_,X, In.) X > 1.645/ Vn + 1 X2 1.645/ Vn +1 O X 1.645/ Vn X2 1.645/ Vn